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Simplifying 2(x + 5) + 3(x + 6) = 12 Reorder the terms: 2(5 + x) + 3(x + 6) = 12 (5 * 2 + x * 2) + 3(x + 6) = 12 (10 + 2x) + 3(x + 6) = 12 Reorder the terms: 10 + 2x + 3(6 + x) = 12 10 + 2x + (6 * 3 + x * 3) = 12 10 + 2x + (18 + 3x) = 12 Reorder the terms: 10 + 18 + 2x + 3x = 12 Combine like terms: 10 + 18 = 28 28 + 2x + 3x = 12 Combine like terms: 2x + 3x = 5x 28 + 5x = 12 Solving 28 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 12 + -28 5x = 12 + -28 Combine like terms: 12 + -28 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2
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